I'm having trouble setting up the partial fractions for this integral I think this is the case of a repeating, irreducible quadratic factor. So, would the decomposition be this?
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Originally Posted by centenial I'm having trouble setting up the partial fractions for this integral I think this is the case of a repeating, irreducible quadratic factor. So, would the decomposition be this? Note quite remember when you have a quadratic in the denominator the numerator have the form so it should look like this
Thanks so much!
Just in case you also want to do it by 'the method of avoiding partial fractions': Observe that Then: Spoiler: Spoiler: Spoiler: Spoiler: Spoiler: Spoiler: You can do your usual integration (completing the square etc) now.
Last edited by TheCoffeeMachine; Dec 7th 2010 at 10:12 AM.
Originally Posted by centenial I'm having trouble setting up the partial fractions for this integral I think this is the case of a repeating, irreducible quadratic factor. So, would the decomposition be this? Or....denominator is squared. If we add an x and a 1, we will have the numerator...
Originally Posted by Archie Meade Or....denominator is squared. If we add an x and a 1, we will have the numerator... Looks like a zero term made me do works!
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